SQ S Class
I am flying EWR-SIN-CMB on SQ in a few weeks (the new executive econ flight) in "S" class (SHEWR), which is not listed in the OP.
Tix were booked by an international organization, which gets discounts that sometimes don't earn. After quite a bit of hunting on SIA and UAL sites, I am not certain SQ "S" earns MP miles and/or EQMs. It may be a negotiated deep discount, or simply designation for the exec economy. Nowhere does it specifically say that they do or do not earn.
I will follow up once I know whether they post to MP.